IDEAS home Printed from https://ideas.repec.org/a/spr/aodasc/v12y2025i2d10.1007_s40745-024-00520-9.html
   My bibliography  Save this article

Optimal Strategy for Elevated Estimation of Population Mean in Stratified Random Sampling under Linear Cost Function

Author

Listed:
  • Subhash Kumar Yadav

    (Babasaheb Bhimrao Ambedkar University)

  • Mukesh Kumar Verma

    (Babasaheb Bhimrao Ambedkar University)

  • Rahul Varshney

    (Babasaheb Bhimrao Ambedkar University)

Abstract

In this paper, we propose the exponential ratio-type estimator for the elevated estimation of population mean, implying one auxiliary variable in stratified random sampling using the conventional ratio and, Bahl and Tuteja exponential ratio-type estimators. The bias and the Mean Squared Error (MSE) of the proposed estimator are derived up to a first-order approximation and compared with existing estimators. Theoretically, we also compare MSE of the proposed estimator using the linear cost function with the competing estimators. The optimal values of the characterizing scalars are obtained and for these optimal values of characterizing scalars, the minimum MSE is obtained. We find theoretically that the proposed estimator is more efficient than other estimators under restricted conditions by formulating the proposed problem as an optimization problem under linear cost function. The numerical illustration is also included to verify theoretical findings for their practical utility. The estimator with least MSE is recommended for practical utility in different areas of applications of stratified random sampling.

Suggested Citation

  • Subhash Kumar Yadav & Mukesh Kumar Verma & Rahul Varshney, 2025. "Optimal Strategy for Elevated Estimation of Population Mean in Stratified Random Sampling under Linear Cost Function," Annals of Data Science, Springer, vol. 12(2), pages 517-538, April.
    • Handle: RePEc:spr:aodasc:v:12:y:2025:i:2:d:10.1007_s40745-024-00520-9
    DOI: 10.1007/s40745-024-00520-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s40745-024-00520-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s40745-024-00520-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:aodasc:v:12:y:2025:i:2:d:10.1007_s40745-024-00520-9. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.